Finding the Third Proportional to 40,896 and 89,472

Step by Step Solution

1. Step 1: Write the proportion equation
   40,896 : 89,472 = 89,472 : x
2. Step 2: Convert to fraction form
   40,896/89,472 = 89,472/x
3. Step 3: Cross multiply
   40,896x = 89,472 × 89,472
4. Step 4: Simplify right side
   40,896x = 8,005,238,784
5. Step 5: Solve for x
   x = 8,005,238,784/40,896
6. Step 6: Final answer
   x = 195,746.25